A Study on Strongly Almost Convergent and Strongly Almost Null Binomial Double Sequence Spaces     
Yazarlar (2)
Sezer Erdem
T.C. Milli Eğitim Bakanlığı, Türkiye
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale
Dergi Adı Fundamental journal of mathematics and applications (Online)
Dergi ISSN 2645-8845
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 11-2021
Cilt No 4
Sayı 4
Sayfalar 271 / 279
DOI Numarası 10.33401/fujma.987981
Makale Linki https://dergipark.org.tr/tr/pub/fujma/issue/65925/987981
Özet
The 4 dimensional (4d) binomial matrix and its domains on the classical double sequence spaces $\mathcal{L}_{p}$, $\mathcal{M}_{u}$, $\mathcal{C}_{P}$, $\mathcal{C}_{bP}$, $\mathcal{C}_{r}$, $\mathcal{C}_{f}$ and $\mathcal{C}_{f_0}$ have been described and examined by Demiriz and Erdem in the papers \cite{e.d.2}-\cite{e.d.3}. In this article, we describe two double sequence spaces with the aid of the aforementioned matrix and study some properties of these. After giving inclusion relations, we compute $\alpha-$, $\beta(bp)-$ and $\gamma-$duals and give some new matrix classes related them.
Anahtar Kelimeler
Duals | 4d binomial matrix | Double sequence space | Matrix transformations | RH regularity